Staff profile

Summary

Simon teaches hydraulics, hydrology and environmental engineering.

Simon's research focuses on the development of mathematical models to describe the movement of fluids and contaminants in porous media. He works on a range of different applications including groundwater recharge, carbon capture and storage, nutrient transport and rainfall runoff modelling.

www.linkedin.com/in/samathias

Authored book

• Mathias, S. A. (2023). Hydraulics, Hydrology and Environmental Engineering. Springer. https://doi.org/10.1007/978-3-031-41973-7

Conference Paper

• Lgotina, E., Mathias, S., Lloret-Cabot, M., & Ireson, A. (2024, April). Mathematical modelling of pressure induced freezing point depression within soils exhibiting strong capillary pressure effect. Presented at 2024 UK Association for Computational Mechanics Conference, Durham, UK

Conference Proceeding

• (2024, April). UKACM Proceedings 2024. Presented at 2024 UK Association for Computational Mechanics Conference, Durham, UK

Edited book

• Gluyas, J., & Mathias, S. (Eds.). (2013). Geological storage of carbon dioxide (CO2) - Geoscience, technologies, environmental aspects and legal frameworks. Woodhead Publishing
• Wheater, H., Mathias, S., & Li, X. (Eds.). (2010). Groundwater Modelling in Arid and Semi-arid Areas. Cambridge University Press

Journal Article

• Mathias, S. A., Bolster, D., & Veremieiev, S. (2024). Two Film Approach to Continuum Scale Mixing and Dispersion with Equilibrium Bimolecular Reaction. Transport in Porous Media, 151(8), 1709-1727. https://doi.org/10.1007/s11242-024-02091-y
• Allgood, C., Llewellin, E. W., Humphreys, M. C. S., Mathias, S. A., Brown, R. J., & Vye‐Brown, C. (2024). Banding in the Margins of Basaltic Dykes Indicates Pulsatory Propagation During Emplacement. Journal of Geophysical Research: Solid Earth, 129(4), Article e2023JB028007. https://doi.org/10.1029/2023jb028007
• Mathias, S. A., Sander, G. C., Leung, J., & Newall, S. R. (2023). Revisiting Salvucci’s Semi-analytical Solution for Bare Soil Evaporation with New Consideration of Vapour Diffusion and Film Flow. Transport in Porous Media, 147(2), 463-493. https://doi.org/10.1007/s11242-023-01917-5
• Rahayu, R., Mathias, S. A., Reaney, S., Vesuviano, G., Suwerman, R., & Ramdhan, A. M. (2023). Impact of land cover, rainfall and topography on flood risk in West Java. Natural Hazards, 116(2), 1735-1758. https://doi.org/10.1007/s11069-022-05737-6
• Ireson, A. M., Spiteri, R. J., Clark, M. P., & Mathias, S. A. (2023). A simple, efficient, mass-conservative approach to solving Richards' equation (openRE, v1.0). Geoscientific Model Development, 16(2), 659-677. https://doi.org/10.5194/gmd-16-659-2023
• Chen, T., Foulger, G. R., Tang, C., Mathias, S. A., & Gong, B. (2022). Numerical investigation on origin and evolution of polygonal cracks on rock surfaces. Engineering Geology, 311, Article 106913. https://doi.org/10.1016/j.enggeo.2022.106913
• Zhang, X., Li, Q., Mathias, S., Zheng, G., & Tan, Y. (2022). Effect of H2S content on relative permeability and capillary pressure characteristics of acid gas/brine/rock systems: A review. Journal of Rock Mechanics and Geotechnical Engineering, 14(6), 2003-2033. https://doi.org/10.1016/j.jrmge.2022.03.014
• Mathias, S. A., Reaney, S. M., & Kenabatho, P. K. (2021). Transmission loss estimation for ephemeral sand rivers in Southern Africa. Journal of Hydrology, 600, Article 126487. https://doi.org/10.1016/j.jhydrol.2021.126487
• Amankwah, S., Ireson, A., Maulé, C., Brannen, R., & Mathias, S. (2021). A Model for the Soil Freezing Characteristic Curve That Represents the Dominant Role of Salt Exclusion. Water Resources Research, 57(8), Article e2021WR030070. https://doi.org/10.1029/2021wr030070
• Mathias, S. A., & Sander, G. C. (2021). Pseudospectral methods provide fast and accurate solutions for the horizontal infiltration equation. Journal of Hydrology, 598, Article 126407. https://doi.org/10.1016/j.jhydrol.2021.126407
• Xu, L., Li, Q., Mathias, S. A., Tan, Y., Yang, D., & Fan, C. (2021). Strain characteristics and permeability evolution of faults under stress disturbance monitoring by fibre bragg grating sensing and pressure pulses. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 7(4), Article 93. https://doi.org/10.1007/s40948-021-00289-8
• Coumans, J., Llewellin, E., Wadsworth, F., Humphreys, M., Mathias, S., Yelverton, B., & Gardner, J. (2020). An experimentally validated numerical model for bubble growth in magma. Journal of Volcanology and Geothermal Research, 402, Article 107002. https://doi.org/10.1016/j.jvolgeores.2020.107002
• Coumans, J. P., Llewellin, E. W., Humphreys, M. C., Nowak, M., Brooker, R. A., Mathias, S. A., & McIntosh, I. M. (2020). An experimentally-validated numerical model of diffusion and speciation of water in rhyolitic silicate melt. Geochimica et Cosmochimica Acta, 276, 219-238. https://doi.org/10.1016/j.gca.2020.02.026
• Mathias, S., Dentz, M., & Liu, Q. (2020). Gas diffusion in coal powders is a multi-rate process. Transport in Porous Media, 131, 1037-1051. https://doi.org/10.1007/s11242-019-01376-x
• Mathias, S. A., Nielsen, S., & Ward, R. L. (2019). Storage Coefficients and Permeability Functions for Coal-Bed Methane Production Under Uniaxial Strain Conditions. Transport in Porous Media, 130(2), 627-636. https://doi.org/10.1007/s11242-019-01331-w
• Jayeoba, A., Mathias, S. A., Nielsen, S., Vilarrasa, V., & Bjørnarå, T. I. (2019). Closed-form equation for subsidence due to fluid production from a cylindrical confined aquifer. Journal of Hydrology, 573, 964-969. https://doi.org/10.1016/j.jhydrol.2019.03.041
• Kelly, H. L., & Mathias, S. A. (2018). Capillary processes increase salt precipitation during CO2 injection in saline formations. Journal of Fluid Mechanics, 852, 398-421. https://doi.org/10.1017/jfm.2018.540
• Hardwick, J., & Mathias, S. (2018). Masuda's sandstone core hydrate dissociation experiment revisited. Chemical Engineering Science, 175, 98-109. https://doi.org/10.1016/j.ces.2017.09.003
• Mathias, S., Greenwell, H., Withers, C., Erdogan, A., McElwaine, J., & MacMinn, C. (2017). Analytical solution for clay plug swelling experiments. Applied Clay Science, 149, 75-78. https://doi.org/10.1016/j.clay.2017.07.021
• Li, A., Davies, R. J., Mathias, S., Yang, J., Hobbs, R., & Wilson, M. (2017). Gas venting that bypasses the feather edge of marine hydrate, offshore Mauritania. Marine and Petroleum Geology, 88, 402-409. https://doi.org/10.1016/j.marpetgeo.2017.08.026
• Mathias, S. A., Sorensen, J. P., & Butler, A. P. (2017). Soil moisture data as a constraint for groundwater recharge estimation. Journal of Hydrology, 552, 258-266. https://doi.org/10.1016/j.jhydrol.2017.06.040
• Li, A., Davies, R. J., & Mathias, S. (2017). Methane hydrate recycling offshore of Mauritania probably after the last glacial maximum. Marine and Petroleum Geology, 84, 323-331. https://doi.org/10.1016/j.marpetgeo.2017.04.007
• Mathias, S., McIntyre, N., & Oughton, R. (2016). A study of non-linearity in rainfall-runoff response using 120 UK catchments. Journal of Hydrology, 540, 423-436. https://doi.org/10.1016/j.jhydrol.2016.06.039
• Mathias, S., & Moutsopoulos, K. (2016). Approximate solutions for Forchheimer flow during water injection and water production in an unconfined aquifer. Journal of Hydrology, 538, 13-21. https://doi.org/10.1016/j.jhydrol.2016.03.048
• Goudarzi, S., Mathias, S., & Gluyas, J. (2016). Simulation of three-component two-phase flow in porous media using method of lines. Transport in Porous Media, 112(1), 1-19. https://doi.org/10.1007/s11242-016-0639-5
• Oostrom, M., White, M., Porse, S., Krevor, S., & Mathias, S. (2016). Comparison of relative permeability–saturation–capillary pressure models for simulation of reservoir CO2 injection. International Journal of Greenhouse Gas Control, 45, 70-85. https://doi.org/10.1016/j.ijggc.2015.12.013
• Mathias, S., Gluyas, J., Goldthorpe, W., & Mackay, E. (2015). Impact of maximum allowable cost on CO2 storage capacity in saline formations. Environmental Science and Technology, 49(22), 13510-13518. https://doi.org/10.1021/acs.est.5b02836
• Davies, R. J., Yang, J., Mathias, S., Hobbs, R., & Li, A. (2015). An irregular feather-edge and potential outcrop of marine gas hydrate along the Mauritanian margin. Earth and Planetary Science Letters, 423, 202-209. https://doi.org/10.1016/j.epsl.2015.04.013
• Mathias, S., & Wen, Z. (2015). Numerical simulation of Forchheimer flow to a partially penetrating well with a mixed-type boundary condition. Journal of Hydrology, 524, 53-61. https://doi.org/10.1016/j.jhydrol.2015.02.015
• Hirst, C., Gluyas, J., & Mathias, S. (2015). The late field life of the East Midlands Petroleum Province; a new geothermal prospect?. Quarterly Journal of Engineering Geology and Hydrogeology, 48(2), 104-114. https://doi.org/10.1144/qjegh2014-072
• Mathias, S., Skaggs, T., Quinn, S., Egan, N., Finch, L., & Oldham, C. (2015). A soil moisture accounting-procedure with a Richards' equation-based soil texture-dependent parameterization. Water Resources Research, 51(1), 506-523. https://doi.org/10.1002/2014wr016144
• Mathias, S., McElwaine, J., & Gluyas, J. (2014). Heat transport and pressure buildup during carbon dioxide injection into depleted gas reservoirs. Journal of Fluid Mechanics, 756, 89-109. https://doi.org/10.1017/jfm.2014.348
• Watson, F., Mathias, S., Daniels, S., Jones, R., Davies, R., Hedley, B., & van Hunen, J. (2014). Dynamic modelling of a UK North Sea saline formation for CO2 sequestration. Petroleum Geoscience, 20(2), 169-185. https://doi.org/10.1144/petgeo2012-072
• Bjørnarå, T., & Mathias, S. (2013). A pseudospectral approach to the McWhorter and Sunada equation for two-phase flow in porous media with capillary pressure. Computational Geosciences, 17(6), 889-897. https://doi.org/10.1007/s10596-013-9360-4
• Mathias, S., Gluyas, J., Mackay, E., & Goldthorpe, W. (2013). A statistical analysis of well production rates from UK oil and gas fields – Implications for carbon capture and storage. International Journal of Greenhouse Gas Control, 19, 510-518. https://doi.org/10.1016/j.ijggc.2013.10.012
• Mathias, S., & Roberts, A. (2013). A Lambert W function solution for estimating sustainable injection rates for storage of CO2 in brine aquifers. International Journal of Greenhouse Gas Control, 17, 546-548. https://doi.org/10.1016/j.ijggc.2013.04.007
• Mijic, A., Mathias, S., & LaForce, T. (2013). Multiple well systems with non-Darcy flow. Groundwater, 51(4), 588-596. https://doi.org/10.1111/j.1745-6584.2012.00992.x
• Mathias, S., Gluyas, J., González Martínez de Miguel, G., Bryant, S., & Wilson, D. (2013). On the importance of relative permeability data for estimating CO2 injectivity in brine aquifers. International Journal of Greenhouse Gas Control, 12, 200-212. https://doi.org/10.1016/j.ijggc.2012.09.017
• Howden, N., Burt, T., Worrall, F., Mathias, S., & Whelan, M. (2013). Farming for Water Quality: Balancing Food Security and Nitrate Pollution in UK River Basins. Annals of the Association of American Geographers, 103, 397-407. https://doi.org/10.1080/00045608.2013.754672
• Hedley, B., Davies, R., Mathias, S., Hanstock, D., & Gluyas, J. (2013). Uncertainty in static CO2 storage capacity estimates: Case study from the North Sea, UK. Greenhouse Gases: Science and Technology, 3(3), 212-230. https://doi.org/10.1002/ghg.1343
• Davies, R., Mathias, S., Moss, J., Hustoft, S., & Newport, L. (2012). Hydraulic fractures: How far can they go?. Marine and Petroleum Geology, 37(1), 1-6. https://doi.org/10.1016/j.marpetgeo.2012.04.001
• Davies, R., Thatcher, K., Mathias, S., & Yang, J. (2012). Deepwater canyons: An escape route for methane sealed by methane hydrate. Earth and Planetary Science Letters, 323-324, 72-78. https://doi.org/10.1016/j.epsl.2011.11.007
• Yang, D., Xue, Z., & Mathias, S. (2012). Analysis of momentum transfer in a lid-driven cavity containing a Brinkman–Forchheimer medium. Transport in Porous Media, 92, 101-118. https://doi.org/10.1007/s11242-011-9893-8
• Hosseini, S., Mathias, S., & Javadpour, F. (2012). Analytical Model for CO2 Injection into Brine Aquifers-Containing Residual CH4. Transport in Porous Media, 94, 795-815. https://doi.org/10.1007/s11242-012-0025-x
• Watson, F., Mathias, S., van Hunen, J., Daniels, S., & Jones, R. (2012). Dissolution of CO2 from leaking fractures in saline formations. Transport in Porous Media, 94, 729-745. https://doi.org/10.1007/s11242-012-0021-1
• Mathias, S., Gluyas, J., González Martínez de Miguel, G., & Hosseini, S. (2011). Role of partial miscibility on pressure buildup due to constant rate injection of CO2 into closed and open brine aquifers. Water Resources Research, 47(12), Article W12525. https://doi.org/10.1029/2011wr011051
• Howden, N., Burt, T., Worrall, F., Mathias, S., & Whelan, M. (2011). Nitrate pollution in intensively farmed regions: What are the prospects for sustaining high-quality groundwater?. Water Resources Research, 47(6), Article W00L02. https://doi.org/10.1029/2011wr010843
• Klammler, H., Hatfield, K., Nemer, B., & Mathias, S. (2011). A trigonometric interpolation approach to mixed-type boundary problems associated with permeameter shape factors. Water Resources Research, 47(3), Article W03510. https://doi.org/10.1029/2010wr009337
• Davies, R., Mathias, S., Swarbrick, R., & Tingay, M. (2011). Probabilistic longevity estimate for the LUSI mud volcano, East Java. Journal of the Geological Society, 168, 517-523. https://doi.org/10.1144/0016-76492010-129
• aquifer. Transport in Porous Media, 89(3), 383-397. https://doi.org/10.1007/s11242-011-9776-z
• Howden, N., Burt, T., Mathias, S., Worrall, F., & Whelan, M. (2011). Modelling long-term diffuse nitrate pollution at the catchment-scale: Data, parameter and epistemic uncertainty. Journal of Hydrology, 403(3-4), 337-351. https://doi.org/10.1016/j.jhydrol.2011.04.012
• Mathias, S., Fallah, A., & Louca, L. (2011). An approximate solution for toughness-dominated near-surface hydraulic fractures. International Journal of Fracture, 168, 93-100. https://doi.org/10.1007/s10704-010-9559-5
• Mathias, S., Gluyas, J., Oldenburg, C., & Tsang, C.-F. (2010). Analytical solution for Joule-Thomson cooling during CO2 geosequestration in depleted oil and gas reservoirs. International Journal of Greenhouse Gas Control, 4(5), 806-810. https://doi.org/10.1016/j.ijggc.2010.05.008
• Mathias, S., Tsang, C., & van Reeuwijk, M. (2010). Investigation of hydromechanical processes during cyclic extraction recovery testing of a deformable rock fracture. International Journal of Rock Mechanics and Mining Sciences, 47(3), 517-522. https://doi.org/10.1016/j.ijrmms.2009.12.008
• Mathias, S. (2010). Transient divergent flow and transport in an infinite anisotropic porous formation. Groundwater, 48(3), 438-441. https://doi.org/10.1111/j.1745-6584.2009.00652.x
• Mathias, S., & Todman, L. (2010). Step-drawdown tests and the Forchheimer equation. Water Resources Research, 46, Article W07514. https://doi.org/10.1029/2009wr008635
• Mathias, S., Hardisty, P., Trudell, M., & Zimmerman, R. (2009). Approximate Solutions for Pressure Buildup During CO2 Injection in Brine Aquifers. Transport in Porous Media, 79(2), 265-284. https://doi.org/10.1007/s11242-008-9316-7
• Mathias, S., Hardisty, P., Trudell, M., & Zimmerman, R. (2009). Screening and selection of sites for CO2 sequestration based on pressure buildup. International Journal of Greenhouse Gas Control, 3(5), 577-585. https://doi.org/10.1016/j.ijggc.2009.05.002
• Mathias, S., Butler, A., Atkinson, T., Kachi, S., & Ward, R. (2009). A parameter sensitivity analysis of two Chalk tracer tests. Quarterly Journal of Engineering Geology and Hydrogeology, 42, 237-244. https://doi.org/10.1144/1470-9236/08-016
• van Reeuwijk, M., Mathias, S., Simmons, C., & Ward, J. (2009). Insights from a pseudospectral approach to the Elder problem. Water Resources Research, 45, https://doi.org/10.1029/2008wr007421
• Ireson, A., Mathias, S., Wheater, H., Butler, A., & Finch, J. (2009). A model for flow in the chalk unsaturated zone incorporating progressive weathering. Journal of Hydrology, 365(3-4), 244-260. https://doi.org/10.1016/j.jhydrol.2008.11.043
• Mathias, S., & van Reeuwijk, M. (2009). Hydraulic fracture propagation with 3-D leak-off. Transport in Porous Media, 80(3), 1573-1634. https://doi.org/10.1007/s11242-009-9375-4
• Butler, A., Mathias, S., Gallagher, A., Peach, D., & Williams, A. (2009). Analysis of flow processes in fractured chalk under pumped and ambient conditions. Hydrogeology Journal, 17(8), 1849-1858. https://doi.org/10.1007/s10040-009-0477-4
• Mathias, S., Butler, A., & Zhan, H. (2008). Approximate solutions for Forchheimer flow to a well. Journal of Hydraulic Engineering, 134(9), 1318-1325. https://doi.org/10.1061/%28asce%290733-9429%282008%29134%3A9%281318%29
• Mathias, S., Butler, A., & Wheater, H. (2008). Modelling radioiodine transport across a capillary fringe. Journal of Environmental Radioactivity, 99(4), 716-729. https://doi.org/10.1016/j.jenvrad.2007.09.010
• Mathias, S., Butler, A., Ireson, A., Jackson, B., McIntyre, N., & Wheater, H. (2007). Recent advances in modelling nitrate transport in the Chalk unsaturated zone. Quarterly Journal of Engineering Geology and Hydrogeology, 40, 353-359. https://doi.org/10.1144/1470-9236/07-022
• Jackson, B., Wheater, H., Wade, A., Butterfield, D., Mathias, S., Ireson, A., Butler, A., McIntyre, N., & Whitehead, R. (2007). Catchment-scale modelling of flow and nutrient transport in the Chalk unsaturated zone. Ecological Modelling, 209(1), 41-52. https://doi.org/10.1016/j.ecolmodel.2007.07.005
• Gooddy, D., Mathias, S., Harrison, I., Lapworth, D., & Kim, A. (2007). The significance of colloids in the transport of pesticides through Chalk. Science of the Total Environment, 385(1-3), 262-271. https://doi.org/10.1016/j.scitotenv.2007.06.043
• Mathias, S., Butler, A., Peach, D., & Williams, A. (2007). Recovering tracer test input functions from fluid electrical conductivity logging in fractured porous rocks. Water Resources Research, 43(7), https://doi.org/10.1029/2006wr005455
• Mathias, S., & Butler, A. (2007). Flow to a finite diameter well in a horizontally anisotropic aquifer with wellbore storage. Water Resources Research, 43(7), https://doi.org/10.1029/2006wr005839
• Mathias, S., & Butler, A. (2007). Shape factors for constant-head double-packer permeameters. Water Resources Research, 43(6), https://doi.org/10.1029/2006wr005279
• Mathias, S., & Butler, A. (2006). An improvement on Hvorslev's shape factors. Géotechnique, 56(10), 705-706. https://doi.org/10.1680/geot.2006.56.10.705
• Jackson, B., Wheater, H., Mathias, S., McIntyre, N., & Butler, A. (2006). A simple model of variable residence time flow and nutrient transport in the chalk. Journal of Hydrology, 330(1-2), 221-234. https://doi.org/10.1016/j.jhydrol.2006.04.045
• Ireson, A., Wheater, H., Butler, A., Mathias, S., Finch, J., & Cooper, J. (2006). Hydrological processes in the Chalk unsaturated zone - Insights from an intensive field monitoring programme. Journal of Hydrology, 330(1-2), 29-43. https://doi.org/10.1016/j.jhydrol.2006.04.021
• Mathias, S., Butler, A., Jackson, B., & Wheater, H. (2006). Transient simulations of flow and transport in the Chalk unsaturated zone. Journal of Hydrology, 330(1-2), 10-28. https://doi.org/10.1016/j.jhydrol.2006.04.010
• Mathias, S., & Butler, A. (2006). Linearized Richards' equation approach to pumping test analysis in compressible aquifers. Water Resources Research, 42(6), https://doi.org/10.1029/2005wr004680
• Mathias, S., Butler, A., McIntyre, N., & Wheater, H. (2005). The significance of flow in the matrix of the Chalk unsaturated zone. Journal of Hydrology, 310(1-4), 62-77. https://doi.org/10.1016/j.jhydrol.2004.12.009
• Mathias, S., & Zimmerman, R. (2003). Laplace transform inversion for late-time behavior of groundwater flow problems. Water Resources Research, 39(10), https://doi.org/10.1029/2003wr002246

Other (Digital/Visual Media)

• Mathias, S. (2023). A Short Course in Mathematics for Engineering and Science Students. Durham University. [Online self-published textbook]